Answers
Answer:
x=15°
∡Q= 75°
Step-by-step explanation:
supplementary angles means the sum of the angles =180°
so, 5x+105°=180°
5x=75°
x=15°
∡Q= 75°
Related Questions
Question 1
Kylie and her family need to buy a new refrigerator. The space available for the refrigerator measures 37 in. wide, 72 in. high, and 24 in. deep.
Which size refrigerator would be the BEST fit for the available space?
70,000 in ³
000
A
B
C
69,936 in.³
53,900 in.3
D 42,000 in.³
Answers
Answer:
Answer is very unclear, but I think it is C.
Step-by-step explanation:
The best fit for the available space would most likely be 53,900 in.³
Which of these measures is the most precise?
44.4
mm
44
mm
44.4
cm
44
cm
Answers
The most precise of the measures given 44mm. Hence option B is the correct answer.
How is this determined?The closeness of measured values is referred to as precision. We require the lowest scale attainable to measure in order to measure a value accurately.
Different scales of measures are presented to us. Any of these scales can be used to calculate the distance between two places. But we need to utilize the lowest scale in order to acquire an exact measurement. The millimetre (mm) is the lowest used scale in the options, making the measurement
Thus for the given options the smallest and the precise measure is obtained at 44mm.
Hence option B is the correct answer.
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susan hypothesizes that the students of a private school will score higher than the general population. susan records a sample mean equal to 578 and states the hypothesis as vs . select the best description for this type of test. a.) lower-tailed test b.) left-tailed test c.) two-tailed test d.) right-tailed test
Answers
Susan predicts that private school pupils will perform better than the general populace. The best description for this type of test is a right-tailed test.
In this scenario, Susan is testing the hypothesis that the mean score of the students of the private school is greater than 572, which is the mean score of the general population. This type of test, where the alternative hypothesis is "greater than" a specified value, is known as a right-tailed test or a one-tailed test (since the test is only considering one direction of deviation from the null hypothesis).
So the correct answer is d) a right-tailed test or a one-tailed test.
The complete question is:-
Susan hypothesizes that the students of a private school will score higher than the general population. Susan records a sample mean equal to 578 and states the hypothesis as μ= 572 vs μ>572. Select the best description for this type of test. a.) lower-tailed test b.) left-tailed test c.) two-tailed test d.) right-tailed test.
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Line f has a slope of 8 Line g is parallel to line f. What is the slope of line g?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
Answer:
if it's parallel isn't the slope the same?
if the ages of ten randomly selected students are totaled then divided by ten, the result is known as: group of answer choices the median. the range. the standard deviation. the mean.
Answers
The mean, median, range, and standard deviation are all measures that can be used to calculate information about a set of numbers, such as the ages of ten randomly selected students.
The mean is the result of totaling the ages of ten randomly selected students and then dividing by ten. This calculation is also known as the average. To calculate the mean, first add up all of the ages, which gives us the sum. Then divide the sum by the number of students, which in this case is 10. The result is the mean, or the average age of the group.
The median is the middle value of a group of numbers. To calculate the median, first put the ages in order from least to greatest. Then find the middle value. If there is an even number of values, then the median is the average of the two middle values.
The range is the difference between the highest and lowest values. To calculate the range, just subtract the smallest number from the largest.
The standard deviation is a measure of variation in a set of numbers. To calculate standard deviation, first subtract the mean from each value, then square each of those differences. Add up these squared differences and divide by the number of values. Then take the square root of that number. The result is the standard deviation.
The mean, median, range, and standard deviation are all measures that can be used to calculate information about a set of numbers, such as the ages of ten randomly selected students.
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Find tn Will mark branliest!
Answers
The sequence is an arithmetic sequence
The equation of tn is Tn = -k^2 - k + 1 + (n - 1) * (k^2 + 2k + 3)
How to determine the equation of the functionFrom the question, we have the following parameters that can be used in our computation:
-k^2 - k + 1, k + 2, k^2 + 3k + 3, 2k^2 + 5k + 4
The above sequence is an arithmetic sequence
And the common difference (d) is
d = k + 2 + k^2 + k + 1
d = k^2 + 2k + 3
The nth term is then calculated as
Tn = a + (n - 1)d
So, we have
Tn = -k^2 - k + 1 + (n - 1) * (k^2 + 2k + 3)
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C) If a person needs 103. 8 ml of water from burning C₁2H24O12. How many grams
of C12H24012 is needed to acquire the needed volume of water? (hint: what is the
density of water?)
Answers
The density of water is 1 g/mL, so for this problem, we would multiply 103.8 mL by 1 g/mL to get our answer of 103.8 grams.
The density of water is 1 gram per milliliter (1 g/mL). This means that for every milliliter of water, there is 1 gram. Therefore, to answer the question of how many grams of C12H24012 is needed to acquire the needed volume of water (103.8 mL), we need to multiply the volume of water by the density of water. To do this, we will use the equation: Mass (g) = Volume (mL) x Density (g/mL). For this problem, the equation would be: Mass (g) = 103.8 mL x 1 g/mL.Therefore, the answer to the question is 103.8 grams of C12H24012 is needed to acquire the needed volume of water.In conclusion, to figure out how many grams of C12H24012 is needed to acquire the needed volume of water, we need to multiply the volume of water (in mL) by the density of water (in g/mL). The density of water is 1 g/mL, so for this problem, we would multiply 103.8 mL by 1 g/mL to get our answer of 103.8 grams.
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A Set of Speakers costs $35 and Songs cost $195 each. The sales tax
rate is 8.25%. The expression 0.0825(35+ 195s) can be used to determine
the amount of sales tax due on the entire purchase of a set of Speakers
and S.Songs. Expand the expression and round to the nearest hundredth.
Answers
The amount of sales tax due on the entire purchase of a set of speakers and s songs is given by expression 2.8875+16s
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given that :
Cost of speaker = $35
Cost per song = $195
Sales tax rate = 8.25%
Expression to obtain the amount of sales tax on entire purchase : 0.0825(35+ 195s)
Using distributive law to expand the expression :
0.0825(35+ 195s)
= 2.8875+16s
Hence, the amount of sales tax due on the entire purchase of a set of speakers and s songs is given by expression 2.8875+16s
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pleaseeee helppppp :(
Answers
In a scavenger hunt, Team A collected 4 items more than twice the number of items collected by Team B. Let b represent the number of items collected by Team B. What is an expression that can be used to find the number of items collected by Team A
Answers
The expression that represents that number of items collected by Team A is a=2b+4.
Given that in a hunt, two teams collected a number of items for their teams. Now the items collected by team A is 4 more than the twice of the items collected by the team B. Let the items collected by team A be 'a' and the items collected by team B will be 'b'.
Now, team A collected items are 4 more than the doubled value of team B.
The expression that represents the items collected by the second team, that is Team A is:
a=2b+4
Therefore the expression that represents items collected by team A is a=2b+4.
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2. Two observers are 600 ft apart on opposite sides of a flagpole. The angles of elevation from the
observers to the top of the pole are 19 and 21°. Find the height of the flagpole. Round to the nearest
foot.
Answers
After finding the sides of the triangle using sine law, we found that the height of the flagpole is found to be 110.89 ft.
What is meant by sine law?
The law of sines specifies how many sides there are in a triangle and how their individual sine angles are equal. The sine law, sine rule, and sine formula are additional names for the sine law.
The side or unknown angle of an oblique triangle is found using the law of sine. Any triangle that is not a right triangle is referred to as an oblique triangle. At least two angles and their corresponding side measurements should be used at once for the sine law to function.
Given,
The distance between two observers = 600 ft
The angle of elevation of the first observer = 19°
The angle of elevation of the second observer = 21°
We are asked to find the height of the flagpole.
The figure is given below.
There are 2 right triangles, ΔABD and ΔCBD.
We will start with ΔABC.
∠B = 180 - (∠A+∠C) = 180 - (21+19) = 140
Now using sine law, we can find lengths a and b.
According to sine law,
b/sin21 = a/sin 19 = 600/sin 140
From this,
b/sin 21 = 600/sin 140
b/0.36 = 933.43
b = 336.03ft
Also,
a/sin 19 = 600/sin 140
a/0.33 = 933.43
a = 308.03ft
Now using ΔABD,
sin 21 =h/a
0.36 = h/308.03
h = 110.89 ft
Therefore after finding the sides of the triangle using sine law, we found that the height of the flagpole is found to be 110.89 ft.
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please help me i dont understand this
Answers
Answer: 57
Step-by-step explanation: I recommend learning angle properties, pictures on the internet might help ya out
Unit 4 Probability and Stats Test
What is the P(A and B) given that P(A) = 0.42, P(B) = 0.14, and P(A or B) = 0.47
Answers
The value of the probability is 0.09
How to evaluate the probabilityfrom the question, we have the following parameters that can be used in our computation:
P(A) = 0.42, P(B) = 0.14, and P(A or B) = 0.47
Using the above as a guide, we have the following:
P(A and B) = P(A) + P(B) - P(A or B)
substitute the known values in the above equation, so, we have the following representation
P(A and B) = 0.14 + 0.42 - 0.47
Evaluate the expression
P(A and B) = 0.09
Hence, teh probability is 0.09
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SOMEONE HELP URGENT PLS
20 POINTS AND BRAINLEST
Answers
A graph which represents the solution to this system of inequalities include the following: graph D.
How to graph the solution to this system of inequalities?In order to to graph the solution to the given system of inequalities on a coordinate plane, we would use an online graphing calculator to plot the given system of inequalities and then take note of the point of intersection;
y ≤ 3x - 4 .....equation 1.
4x + 2y < 6 .....equation 2.
Based on the graph (see attachment), we can logically deduce that the solution to the given system of inequalities is the shaded region below the solid and dashed line, and the point of intersection of the lines on the graph representing each, which is given by the ordered pair (1.4, 0.2).
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4. John and Mitchell are buying snack from the break cart at school. John bought 2 bags of chips and 3
candy bars for $8.50. Mitchell bought 4 bags of chips and 2 candy bars for $11. How much did each item
cost?
Define your variables. x =
Write a system of equations.
Solve using any method.
y=_
Answers
x = cost of 1 bag of chips
y = cost of 1 candy bar
With these definitions, the first equation for John's purchase can be written as:
2x + 3y = 8.50
The second equation for Mitchell's purchase can be written as:
4x + 2y = 11
Now we have a system of two equations:
2x + 3y = 8.50
4x + 2y = 11
To solve for x and y, we can use substitution or elimination method.
Let's use substitution method:
Solve for y in the first equation:
2x + 3y = 8.50
3y = 8.50 - 2x
y = (8.50 - 2x) / 3
Substitute this expression for y into the second equation:
4x + 2y = 11
4x + 2((8.50 - 2x) / 3) = 11
Expanding the right side:
4x + (17 - 4x) / 3 = 11
13x / 3 = 11 - (17 / 3)
13x / 3 = 11 - 5.67
13x / 3 = 5.33
Multiplying both sides by 3:
13x = 16
x = 16 / 13
So, the cost of 1 bag of chips is 16 / 13 dollars.
Substitute x = 16 / 13 into the expression for y:
y = (8.50 - 2x) / 3
y = (8.50 - 2(16 / 13)) / 3
y = (8.50 - 32 / 13) / 3
y = (8.50 - 2.46) / 3
y = 6.04 / 3
y = 2.02
So, the cost of 1 candy bar is 2.02 dollars
in a class of 26 students,15 of them like maths,13 of them like english and 9 doesnt like eitherwhats the probability that a student choosen at random likes english but not maths
Answers
The probability that a student choosen at random likes english but not maths is 299/676.
Let A be the event that a student likes math, and B be the event that a student likes English.
From the given information, we know that:
P(A) = 15/26
P(B) = 13/26
P(neither A nor B) = 9/26
To find the probability that a student chosen at random likes English but not math, we can use the formula:
P(B and not A) = P(B) - P(A and B)
The probability of A and B can be found by multiplying the probabilities of A and B together, since they are not independent:
P(A and B) = P(A) × P(B) = (15/26) × (13/26) = 195/676
Substituting the given probabilities into the formula, we get:
P(B and not A) = (13/26) - (195/676)
Simplifying, we get:
P(B and not A) = 299/676
Therefore, the probability that a student chosen at random likes English but not math is 299/676.
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Jerome runs a clothing store. To mark their anniversary, they have a promotional offer for their customers. He has kept a box with five 10% discount coupons, eight 15% discount coupons, seven 20% discount coupons, six 25% discount coupons, and four 40% discount coupons. Every 30 minutes, one customer gets to draw a discount coupon from the box, use it on their purchase, and then place the coupon back into the box. Jerome predicts that when a customer draws a discount coupon from box without looking, the customer will draw a 10% discount coupon one-sixth of the time.
Answers
Yes, Jerome's prediction is true that customers will draw a 10% discount coupon one-sixth of the time.
What is probability?The possibility of the result of any random event is known as probability. This phrase refers to determining the likelihood that any given occurrence will occur.
Yes, Jeremore is correct.
It is given that a box has
Number of 10% discount coupons = 5
Number of 15% discount coupons = 8
Number of 20% discount coupons = 7
Number of 25% discount coupons = 6
Number of 40% discount coupons = 4.
The total coupons in the box = 5+8+7+6+4 = 30.
So, the probability that the customer will get a 10% coupon is
Number of 10% coupons/ Total coupons = 5/30= 1/6.
So, Jerome's prediction is true that customers will draw a 10% discount coupon one-sixth of the time.
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about 45 of every 300 apples picked at the newbury apple orchard are rotten, if 3560 apples were picked one week, about how many apples were rotten?
Answers
about 45 of every 300 apples picked at the Newbury apple orchard are rotten, if 3560 apples were picked one week, about 534 many apples were rotten. We drew this answer with the help of algebra,
45/300 = x/3560
x = 3560*(45/300) = 534
At the same rate, about 534 rotten apples can be expected in the week's pickings.
Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions. In algebra, we use numbers like 2, −7, 0.068 etc., which have a definite or fixed value. In algebra we use variables like x, y, and z along with numbers.
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sean gets an average of 20 calls during his 8 hour work day. what is the probability that sean will get at most 9 calls in a 4 hour portion of his work day? round the final answer to three decimal places.
Answers
The probability that Sean will get at most 9 calls in a 4 hour portion of his work day is 0.037.
The probability that Sean will get at most 9 calls in a 4 hour portion of his work day can be calculated by using the Poisson distribution formula. The formula is [tex]P(x)=e^-μ(μ^x/x!)[/tex].
In this case, μ = 20/4 = 5.
Therefore, [tex]P(x=9) = e^-5(5^9/9!) = 0.037[/tex]
Rounding the answer to three decimal places, the probability that Sean will get at most 9 calls in a 4 hour portion of his work day is 0.037.
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HELP!!! DUE TONIGHT!
Answers
Answer:
33.912
Step-by-step explanation:
U have to multiply 10.8 x 3.14 to get the answer
Hopefully this helps and if it did pls mark me as the brainlest
Translate the following sentence into an equation. Then, SOLVE the equation: 19 less than w is 76
Answers
Answer:
The sentence can be translated into the equation: w - 19 = 76
Step-by-step explanation:
To solve the equation, we can add 19 to both sides:
w - 19 + 19 = 76 + 19
w = 95
So, w = 95 is the solution to the equation.
"19 less than w is 76" can be written as w - 19 = 76.
To solve the equation, we can add 19 to both sides:
w - 19 + 19 = 76 + 19
Simplifying, we get:
w = 95
So the solution to the equation is w = 95
Fill in the table using this function rule.
y=2x-4
3
5
7
9
y
Answers
Answer:12
16
20
44 these are the answers
Step-by-step explanation:
Use synthetic division to find the result when 4x^4-7x^3+7x^2-12x+15 is divided by x-1. If there is a remainder, express the result in the form q(x)+r(x)/b(x)
Answers
When given expression (4x⁴-7x³+7x²-12x+15)/(x-1) is solved, result in the form q(x)+r(x)/b(x) will be -7x² + 4 + 19/(x-1).
What precisely are expressions?Expressions in mathematics are mathematical statements that are made up of at least two sentences that contain numbers, variables, or both, and are connected by an operator. Addition, subtraction, multiplication, and division are examples of mathematical operations. For example, x + y is an equation that separates the terms x and y by an addition operator. There are two sorts of expressions in mathematics: numerical expressions, which include simply numbers, and algebraic expressions, which contain both numbers and variables.
e.g. A number is 6 times larger than another number, x. This statement may be expressed mathematically as x/2 + 6. Complex issues are solved using mathematical expressions.
Now,
Given expression to solve is (4x⁴-7x³+7x²-12x+15)/(x-1)
then dividing this
=4x⁴/x-1-7x³/x-1+7x²/x-1-12x/x-1+15/x-1
=4x³-3x²+4x-8+7/x-1 in form of q(x)+r(x)/b(x)
= 4x⁴/x-1-7x³/x-1+7x²/x-1-12x/x-1+15/x-1
= -7x² + 4 + 19/(x-1)
hence,
When given expression (4x⁴-7x³+7x²-12x+15)/(x-1) is solved, result in the form q(x)+r(x)/b(x) will be -7x² + 4 + 19/(x-1).
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Use a 10-by-10 grid to solve.
What is 12% of 150?
Answers
jake and kim share some money in the ratio 1:3
kim gets $90 more than jake.
how much does kim get
Answers
Answer: $135
Step-by-step explanation:
We have the ratio 1 : 3.
Kim gets $90 more than Jake.
So 1 : 3 can also be written as x : x+90
If x * 3 equals x+90, we can create the equation 3x=x+90. Solving this results in x being equal to 45
Kim gets $135 (x+90=45+90=135)
t^3=1. What is t, the cube root of 1?
Answers
Answer:
1
Step-by-step explanation:
1 cubed is 1 so it only makes sense for t=1
The cube root of 1 is 1. So, t = 1.
Subtract. Write the answer in standard form.
(13 + 9i) - (1-11) ?
Answers
Answer:
[tex]10^{1}[/tex]
Step-by-step explanation:
13 + 9 - 1 - 11
Add 13 and 9 to get 22.
22 - 1 - 11
Subtract 1 from 22 to get 21.
21 - 11
Subtract 11 from 21 to get 10.
10
Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ less than 140.
Answers
The probability that a randomly selected adult has an IQ less than 140 is 97.72%.
What is the standard deviation?
The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the set mean.
Given that the mean of adults' IQ is μ=100 and the standard deviation is σ=20.
The formula of z-score is z = (X - μ)/σ
Putting the value of μ = 100, σ=20, and X = 140:
z = (140 - 100)/20
z = 40/20
z = 2
From z table, we get the value of z is 0.9772 = 97.72%
P(X<140) = P(z = 2.0) = 97.72%
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Which figures have equal area? Choose all that are correct.
Answers
Equivalence means to be same, whether it be value, temperature, size, etc.
Let's take a look at shape 1.
Shape 1 has a base of 3, and a height of 4, but there is a gap with a width of 1 and a height of 2. So, we can use this equation to figure out the area:
(3 × 4) - (1 × 2) = 10So, shape 1 has an area of 10 units.
Let's look at shape 2.
Shape 2 has a base of 2, and a height of 4, but there is also a gap, with a width of 1 and a height of 3. So, we can use this equation to figure out the area:
(2 × 4) - (1 × 3) = 5So, shape 2 has an area of 5 units.
Let's look at shape 3.
Shape 3 consists of 4 right triangles, put together to form an arrowhead. The shape has a base of 4, and a height of 2. So, we can use this equation to figure out the area:
(4 × 2) ÷ 2 = 4So, shape 3 has an area of 4 units.
Let's look at shape 4.
Shape 4 consists of 4 right triangles, put together to form a diamond. The shape has a base of 4, and a height of 2. So, we can use this equation to figure out the area:
(4 × 2) ÷ 2 = 4So, shape 4 has an area of 4 units.
Looking to the final shape (5), we can see it consists of a long rectangle and 2 right triangles. Instead of calculating the base and height of the entire shape, we can break it into pieces, making a rectangle that has a base of 3, and a height of 1. Then we are left a shape that has a base of 2, and a height of 3. So, we can use this equation to figure out the area:
(3 × 1) + ([2 × 3] ÷ 2) = 6So, shape 5 has an area of 6 units.
Let's compare the area of all of the shapes.
Has an area of 10 square units. Has an area of 5 square units. Has an area of 4 square units. Has an area of 4 square units. Has an area of 6 square units.Therefore, the two figures that have equal areas are shapes 3 and 4.
Solve [tex]x^{2} -24=10x[/tex]
Answers
x^2-10x-24=0
(x-12)(x+2)=0
x-12=0 or x+2=0
x=12 x=-2
